Nuprl Lemma : State1-functional

[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[tr:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)].
  ∀es:EO+(Info). (single-valued-classrel(es;X;A)  State1(init;tr;X) is functional)


Proof




Definitions occuring in Statement :  State1: State1(init;tr;X) es-functional-class: is functional single-valued-classrel: single-valued-classrel(es;X;T) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) Id: Id uall: [x:A]. B[x] all: x:A. B[x] implies:  Q function: x:A ─→ B[x] universe: Type
Lemmas :  State-loc-comb-functional single-bag_wf bag_size_single_lemma false_wf single-valued-bag-single single-valued-classrel_wf event-ordering+_wf classrel_wf State1_wf es-E_wf event-ordering+_subtype less_than_wf bag-size_wf class-ap_wf nat_wf eclass_wf Id_wf

Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[init:Id  {}\mrightarrow{}  B].  \mforall{}[tr:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].
    \mforall{}es:EO+(Info).  (single-valued-classrel(es;X;A)  {}\mRightarrow{}  State1(init;tr;X)  is  functional)



Date html generated: 2015_07_22-PM-00_24_58
Last ObjectModification: 2015_01_28-AM-10_08_32

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